Examine the pattern of socks Above:

If the pattern continues, how many socks would b in figure 5?


(A.) 29

(B.) 41

(C.) 50

(D.) 52

SOLUTION:

Case: System of equation word problem

Required: Find the number of adults and children tickets Josie bought.

First we create a system of equation. One for the total number of tickets, the other for the total cost of tickets.

Assumption: Let the number of adult tickets be a and the number of children tickets c.

Sytems of equations:

Solving the system of equation, using substitution method

Next we find the value of c

Final answers:

The total number of children tickets bought were 35 WHILE

The total number of adult tickets bought were 53.

The total number of  ways 7 red marbles can be chosen is 95,567,472 i.e., option b is correct.

12 marbles are chosen in which 7 are red marbles and remaining marbles, which are 5, are blue marbles.

In order to find in how many ways 7 red marbles can be chosen we will follow the steps mentioned below:

Out of 18 red marbles 7 are chosen and out of 15 blue marbles 5 are chosen. So, we can write

Total number of  ways 7 red marbles can be chosen= [tex]18C_{7}[/tex] × [tex]15C_{5}[/tex]

Total number of  ways 7 red marbles can be chosen= [tex](\frac{18!}{7! (18-7)!} )[/tex][tex](\frac{15!}{5! (15-5)!})[/tex]

Total number of  ways 7 red marbles can be chosen= 31824 × 3003

Total number of  ways 7 red marbles can be chosen=  95,567,472

Thus, we can conclude that in 95,567,472 number of  ways 7 red marbles can be chosen.

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the probability of at least two person have same birthday would be: 100%-99.72%= 0.28%

In this question, you are asked the probability for any of the 2 person to have the same birthday. To answer this it will be easier to calculate how much the probability for no one has same birthday. Let say the first person birthday is 1. Then the next person birthday should be other than 1, which mean 364 possible days out of 365 days.

Then the calculation for 2 people would be:  

(365!/365-2!)/(365^(2)= (365!/363!)/ 365^2=  0.9972=99.72%

Then the probability of at least two person have same birthday would be: 100%-99.72%= 0.28%

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The transformation from the graph of f to the graph of g is reflection in the x-axis.

We are given the function f(x) = -4x + 8

Also it says that g(x) = -f(x)

                                 = 4x - 8

Since f(x) is a linear function, the graph of f(x) and hence the graph of g(x), both are straight lines. But the graph of g(x) will be a transformed image of the graph of f(x).

Here, if f(x) = y, then the transformation from f(x) to g(x) can be represented as, (x, y) -------> (x, -y)

This transformation corresponds to the reflection in the x-axis. When reflected along x-axis, the x- co-ordinate does not change, but the y- co-ordinate changes its sign. This is exactly what happens when the function f(x) is transformed to g(x) = -f(x).

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Answer:

[tex]y=-4x+6[/tex]

Step-by-step explanation:

Point Slope Form = Y-y1=m(X-x1)

m=-4, (x1,y1) = (1,2)

y-2=-4(x-1)

y-2=-4x+4

y=-4x+6

:]

(Lol please give Brainliest if I'm correct :] )

Answer:

y = 3(40)

Step-by-step explanation:

Let's break it down:

Total earnings = y

Price of item = 3

Amount of items sold = x (in this case 40)

Answer: (x+2)(x+3)

Step-by-step explanation:

1) Try to simplify with the line method

List the multiplicative numbers for a and c.

x^2 + 5x + 6 = 0

1x----------->  3

1x----------->  2

3 + 2 = 5

Make sure the two numbers multiply-add to b

Afterward, flip the top and bottom numbers.

1x--------------> 2

1x--------------> 3

Put them into an equation.

(x+2)(x+3)

Answer:

A is 5

B is 3

C is 2

D is 4

E is 3

F is 5

Answer:

8 inches can be purchased for 32 cents.

In the estimation, the missing values are 8 and 1 respectively.

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.

Since the number after the digit 8 in 8.41 is 4, we will round down 8.41 to 8

Also, the number after the digit 0 in 0.61 is 6, so we will round up 0.62 to 1

Therefore, the missing values in the estimation are 8 and 1 respectively.

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Answer:

  (b)  30

Step-by-step explanation:

Given a set of ordered pairs (green, red) = {(2, 6), (3, 9), (5, 15), (6, 18), (10, x)}, you want to know the value of x.

The ratio of the red value to the green value is 6/2 = 3 in each case. To keep that ratio, we must have ...

  x/10 = 3

  x = 30 . . . . . . multiply by 10

The number of action movies are in Devon's collection are,  32.

What is percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given:  Action movies make up 80% of Devon's movie collection. She has 40 movies.

We can find the number of Devon's movie collection by multiplying its percentage by the number of Action movies. That is;

Number of Devon's movie collection = [tex]\frac{80}{100} (40) = 32[/tex]

Therefore, Therefore he has 32 movies that are in Devon's collection.

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The margin of error associated with the confidence interval is 0.02.

The 95% confidence interval for the population proportion is defined as:

p ± z(0.05 / 2) × √[p ( 1 − p )/ n]

We have,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73                                     ----------- ( 1 )

p + z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.77                                    ----------- ( 2 )

Adding the above two equations,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] + p + z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73 + 0.77

2p = 0.73 + 0.77

2p = 1.5

p = 0.75

Now, Subtracting the equations ( 1 ) and (2),

We get,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] - p - z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73 - 0.77

−2 × z(0.05 / 2) × √[ p ( 1 − p )/ n ] = -0.44

z( 0.10 / 2) × √[ p ( 1 − p )/ n] = 0.02

The margin of error is defined by the formula:

M E = z(0.05 / 2) × √[ p ( 1 − p )/ n]

Therefore, The margin of error will be:

M E = 0.02

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The volume the rest of the items in the box take up (in cubic inches) is (x-3240) cu in.

What is volume?

Let the volume of the full box be = x cu in

The volume of the computer box = 9 in. x 18 in. x 20 in. = 3240 cu in

Volume the rest of the items in the box take up (in cubic inches)

= x cu in - 3240 cu in = (x-3240) cu in

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To the nearest hundredth, pi + the square root of forty roughly equals 9.47. The best choice is B.

Rounding a number to a particular value reduces the complexity of the number while increasing readability and accessibility.

When you round to a certain point, the exact digits are maintained on the left side of that point but are rounded or somewhat trimmed from the right.

The limit is set at five.

All right-sided values are made zero if the right-side digit to the digit where we must round off is less than or equal to five; otherwise, it is increased by one and the remaining right-side digits are made zero. If the digit to the right of the decimal point is 5, and there are just zeros or no values after it, we round up (raise by 1 as in 347500 to 34800). (Well there are many detailed rules of rounding)

The following can be used to represent the provided expression, "pi plus the square root of forty to the closest hundredth,"

π + √40

= 3.1416 + 6.3245

= 9.4661 ≈ 9.47

Value is therefore 9.47.

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Answer:

5/32, 3/16, 1/4

Step-by-step explanation:

Make an common denominator: multiply 1/8 by 4/4 to get 4/32

Multiply 3/4 by 8/8 to get 24/32

all possible values: 4/32 through 24/32

5/32

6/32 (Divide by 2 => 3/16 )

8/32 (Divide by 8 to get 1/4)

Answer:

-4 = s

Step-by-step explanation:

6=-3(s+2) multiply -3 into the parenthesis.

6=-3s-6 add 6 to the other side

12=-3s divide by -3 on both sides.

-4=s

Answer:

It would be 4/(-1) , which is -4

Step-by-step explanation:

You take f(1) and g(1) and then divide them to get f/g of (1)

Hello!

Let's solve:

  [tex]\dfrac{f}{g} (1)=\dfrac{f(1)}{g(1)} \\\\\\\\\text{Plug in the value for f(1) and g(1) given by the table}\\\\\dfrac{f(1)}{g(1)}=\dfrac{4}{-1} =-4[/tex]

Answer: -4

Note:

To find value of f(1) and g(1) on the table

Hope that helps!

Step-by-step explanation:

5w - 4 > 59 - 2w

add 4 to both sides:

5w - 4 + 4 > 59 - 2w + 4

5w > 63 - 2w

subtract 2w from both sides:
5w - 2w > 63 - 2w - 2w

3w > 63

divide both sides by 3:

3w/3 > 63/3

w > 21

in internal notation: (21, ∞)

Answer:

There are two different categories of transformations: The rigid transformation, which does not change the shape or size of the preimage. The non-rigid transformation, which will change the size but not the shape of the preimage.

Step-by-step explanation:

yep sorry if you get it wrong it is

B

The incorrect statement is  50-500 individuals (cross section, more cohorts) - months to years

The answer provided above has been developed in a clear step by step manner.

Stage 1: 5-50 individuals (healthy, young); few weeks to months is correct considering the hypothesis

Second option is incorrect

Stage 2: 50-500 individuals (cross section, more cohorts) - months to years

Stage 3: 500-50,000 individuals - usually 4-5 years is also correct

Stage 4: millions of individuals - between 1-2 years is also correct

Appropriate sample size generally depends on the specified statistical hypotheses and a few study design parameters. These include the minimal meaningful detectable difference (effect size), estimated measurement variability, desired statistical power, and significance level

Therefore,50-500 individuals (cross section, more cohorts) - months to years can't be used to describe the sample sizes and time frames for conducting the various stages of human clinical trials

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The first step here is to write out this question as a proper algebraic expression. That means you assign a letter to the question mark and you now have;

4/6 = y * 1/6

(Note that the symbol * represents the multiplication sign)

y * 1/6 can be re-written as y/6 since it is actually y/1 * 1/6

Therefore you now have;

4/6 = y/6

Cross multiply and you now have,

4 * 6 = y * 6

24 = 6y

Divide both sides of the equation by 6 (to eliminate the 6 on the right hand side)

4 = y

Therefore the number that should be in the question mark is 4.

A yard is a unit of measurement of length equal to 3 feet or approximately 0.914 meter. Hence, to measure the length of a parking lot we use unit yard

What is a Unit ?

A unit, like a building block, is a single, complete portion of something. Before moving on to another unit on geometry in math class, you might complete a unit on algebra. There are also other types of units of measurement, such inches and miles.

Since we know that
A Parking lot is a big area

So we should take a unit that is used to measure bigger area

Thus we use yard for measuring the Parking lot

A yard is a unit of measurement of length equal to 3 feet or approximately 0.914 meter

Hence, to measure the length of a parking lot we use unit yard
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The statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence due to  being a reflection of itself

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

WE have been given that the statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence.

The reflexive property of congruence says that any geometric figure is congruent to itself.

Any figure being a reflection of itself and that is why they are congruent. For example, the triangle ∠CBA is congruent to ∠ABC.

The statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence due to  being a reflection of itself

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Answer: hi someone else answered this but you should report it its not an answer anyway here is the answer. 12

Step-by-step explanation:

write out the factors of both numbers:

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.

then find the highest number in both, 12.

and thats the hcf. hope this helped but report that person they are not helping. :)

We want to find a series of transformations that change the polygon ABCD into the polygon A'B'C'D'.

We see that a counter-clockwise rotation must be necessary, as:

By doing a traslation of 4 units to the right, and a dilation by a scale factor of 2, we obtain the desired figure. This is, the answer is B.

The smallest possible value of the seventh term of the sequence is 104 .

A sequence is an ordered group of items in mathematics where repetitions are permitted and order is important.

Let the first two terms of the first sequence be a and b and the first two of the second sequence be c and d.

Computing the seventh term,

we see that 5a + 8b = 5c + 8d.

Note that this means that a and c must have the same value of |8|.

To minimize, let one of them be 0;

We assume that a= 0.

Thus, the smallest possible value of c is 8; and since the sequences are non-decreasing we get d > 8.

To minimize, let d = 8. Thus, 5c + 8d = 40 + 64 = 104.

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x and y intercepts are the points where lines cut off the x and the y axis respectively.

In this case, the line cuts the x axis at x=-8. It means that the x intercept of the line is (-8,0).

The line also cuts the y axis at y=-6, which means that the y intercept of the line is (0,-6).